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Finding the Third Proportional to 281,821.50 and 614,217

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Solution

The third proportional to 281,821.50 and 614,217 is: 1,338,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,821.50 : 614,217 = 614,217 : x
  2. Step 2: Convert to fraction form
    281,821.50/614,217 = 614,217/x
  3. Step 3: Cross multiply
    281,821.50x = 614,217 × 614,217
  4. Step 4: Simplify right side
    281,821.50x = 377,262,523,089
  5. Step 5: Solve for x
    x = 377,262,523,089/281,821.50
  6. Step 6: Final answer
    x = 1,338,657.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.